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Finding the Third Proportional to 161,276.50 and 256,216

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Solution

The third proportional to 161,276.50 and 256,216 is: 407,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,276.50 : 256,216 = 256,216 : x
  2. Step 2: Convert to fraction form
    161,276.50/256,216 = 256,216/x
  3. Step 3: Cross multiply
    161,276.50x = 256,216 × 256,216
  4. Step 4: Simplify right side
    161,276.50x = 65,646,638,656
  5. Step 5: Solve for x
    x = 65,646,638,656/161,276.50
  6. Step 6: Final answer
    x = 407,044.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.